Buckling and postbuckling of CNT-reinforced composite sandwich cylindrical panels subjected to axial compression in thermal environments
Keywords:CNT-reinforced composite, cylindrical panel, sandwich models, buckling and postbuckling.
An analytical investigation on the buckling and postbuckling behavior of carbon nanotube reinforced composite (CNTRC) sandwich cylindrical panels exposed to thermal environments and subjected to uniform axial compression is presented in this paper. Beside sandwich model with CNTRC face sheets in the literature, the present work suggests a sandwich model with CNTRC core layer and homogeneous face sheets. Carbon nanotubes (CNTs) are reinforced into matrix phase through uniform or functionally graded distributions. Effective properties of nanocomposite layers are determined according to extended rule of mixture. Formulations are based on the first order shear deformation theory taking into account Von Karman-Donnell nonlinearity. Approximate solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is used to derive the closed-form expression of nonlinear load-deflection relation from which buckling loads and postbuckling paths are determined. Numerical examples are carried out and interesting remarks are given.
E. T. Thostenson, Z. Ren, and T. W. Chou. Advances in the science and technology of carbon nanotubes and their composites: a review. Composites Science and Technology, 61, (13), (2001), pp. 1899–1912. https://doi.org/10.1016/s0266-3538(01)00094-x.
E. T. Thostenson, C. Li, and T. W. Chou. Nanocomposites in context. Composites Science and Technology, 65, (3-4), (2005), pp. 491–516. https://doi.org/10.1016/j.compscitech.2004.11.003.
J. N. Coleman, U. Khan, W. J. Blau, and Y. K. Gunko. Small but strong: a review of the mechanical properties of carbon nanotube–polymer composites. Carbon, 44, (9), (2006), pp. 1624–1652. https://doi.org/10.1016/j.carbon.2006.02.038.
O. Gohardani, M. C. Elola, and C. Elizetxea. Potential and prospective implementation of carbon nanotubes on next generation aircraft and space vehicles: A review of current and expected applications in aerospace sciences. Progress in Aerospace Sciences, 70, (2014), pp. 42–68. https://doi.org/10.1016/j.paerosci.2014.05.002.
H. S. Shen. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures, 91, (1), (2009), pp. 9–19. https://doi.org/10.1016/j.compstruct.2009.04.026.
Z. X. Lei, K. M. Liew, and J. L. Yu. Buckling analysis of functionally graded carbon nanotube reinforced composite plates using the element-free kp-Ritz method. Composite Structures, 98, (2013), pp. 160–168. https://doi.org/10.1016/j.compstruct.2012.11.006.
L. W. Zhang, Z. X. Lei, and K. M. Liew. An element-free IMLS-Ritz framework for buckling analysis of FG–CNT reinforced composite thick plates resting on Winkler foundations. Engineering Analysis with Boundary Elements, 58, (2015), pp. 7–17. https://doi.org/10.1016/j.enganabound.2015.03.004.
Z. X. Lei, L. W. Zhang, and K. M. Liew. Buckling analysis of CNT reinforced functionally graded laminated composite plates. Composite Structures, 152, (2016), pp. 62–73. https://doi.org/10.1016/j.compstruct.2016.05.047.
Z. X. Lei, L.W. Zhang, and K.-M. Liew. Buckling of FG-CNT reinforced composite thick skew plates resting on Pasternak foundations based on an element-free approach. Applied Mathematics and Computation, 266, (2015), pp. 773–791. https://doi.org/10.1016/j.amc.2015.06.002.
Y. Kiani. Shear buckling of FG-CNT reinforced composite plates using Chebyshev-Ritz method. Composites Part B: Engineering, 105, (2016), pp. 176–187. https://doi.org/10.1016/j.compositesb.2016.09.001.
Y. Kiani. Buckling of FG-CNT-reinforced composite plates subjected to parabolic loading. Acta Mechanica, 228, (4), (2017), pp. 1303–1319. https://doi.org/10.1007/s00707-016-1781-4.
Y. Kiani and M. Mirzaei. Rectangular and skew shear buckling of FG-CNT reinforced composite sakew plates using Ritz method. Aerospace Science and Technology, 77, (2018), pp. 388–398. https://doi.org/10.1016/j.ast.2018.03.022.
M. Mirzaei and Y. Kiani. Thermal buckling of temperature dependent FG-CNT reinforced composite plates. Meccanica, 51, (9), (2016), pp. 2185–2201. https://doi.org/10.1007/s11012-015-0348-0.
H. S. Shen and C. L. Zhang. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Materials & Design, 31, (7), (2010), pp. 3403–3411. https://doi.org/10.1016/j.matdes.2010.01.048.
Y. Kiani. Thermal post-buckling of FG-CNT reinforced composite plates. Composite Structures, 159, (2017), pp. 299–306. https://doi.org/10.1016/j.compstruct.2016.09.084.
L. W. Zhang and K. M. Liew. Postbuckling analysis of axially compressed CNT reinforced functionally graded composite plates resting on Pasternak foundations using an element-free approach. Composite Structures, 138, (2016), pp. 40–51. https://doi.org/10.1016/j.compstruct.2015.11.031.
H. V. Tung. Thermal buckling and postbuckling behavior of functionally graded carbon-nanotube-reinforced composite plates resting on elastic foundations with tangential-edge restraints. Journal of Thermal Stresses, 40, (5), (2017), pp. 641–663. https://doi.org/10.1080/01495739.2016.1254577.
L. T. N. Trang and H. V. Tung. Tangential edge constraint sensitivity of nonlinear stability of CNT-reinforced composite plates under compressive and thermomechanical loadings. Journal of Engineering Mechanics, 144, (7), (2018). https://doi.org/10.1061/(asce)em.1943-7889.0001479.
H. V. Tung and L. T. N. Trang. Thermal postbuckling of shear deformable CNT reinforced composite plates with tangentially restrained edges and temperature dependent properties. Journal of Thermoplastic Composite Materials, (2018). https://doi.org/10.1177/0892705718804588.
E. Garcıa-Macıas, L. Rodriguez-Tembleque, R. Castro-Triguero, and A. Sáez. Buckling analysis of functionally graded carbon nanotube-reinforced curved panels under axial compression and shear. Composites Part B: Engineering, 108, (2017), pp. 243–256. https://doi.org/10.1016/j.compositesb.2016.10.002.
E. Garcıa-Macıas, L. Rodrıguez-Tembleque, R. Castro-Triguero, and A. Sáez. Eshelby-Mori-Tanaka approach for post-buckling analysis of axially compressed functionally graded CNT/polymer composite cylindrical panels. Composites Part B: Engineering, 128, (2017), pp. 208–224. https://doi.org/10.1016/j.compositesb.2017.07.016.
H. S. Shen and Y. Xiang. Postbuckling of axially compressed nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Composites Part B: Engineering, 67, (2014), pp. 50–61. https://doi.org/10.1016/j.compositesb.2014.06.020.
H. S. Shen. Postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations subjected to lateral pressure in thermal environments. Engineering Structures, 122, (2016), pp. 174–183. https://doi.org/10.1016/j.engstruct.2016.05.004.
H. S. Shen and Y. Xiang. Thermal postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations. Composite Structures, 123, (2015), pp. 383–392. https://doi.org/10.1016/j.compstruct.2014.12.059.
H. S. Shen and Y. Xiang. Nonlinear response of nanotube-reinforced composite cylindrical panels subjected to combined loadings and resting on elastic foundations. Composite Structures, 131, (2015), pp. 939–950. https://doi.org/10.1016/j.compstruct.2015.06.042.
H. V. Tung and L. T. N. Trang. Imperfection and tangential edge constraint sensitivities of thermomechanical nonlinear response of pressure-loaded carbon nanotube reinforced composite cylindrical panels. Acta Mechanica, 229, (5), (2018), pp. 1949–1969. https://doi.org/10.1007/s00707-017-2093-z.
L. T. N. Trang and H. V. Tung. Thermomechanical nonlinear analysis of axially compressed carbon nanotube-reinforced composite cylindrical panels resting on elastic foundations with tangentially restrained edges. Journal of Thermal Stresses, 41, (4), (2018), pp. 418–438. https://doi.org/10.1080/01495739.2017.1409093.
L. T. N. Trang and H. V. Tung. Nonlinear stability of CNT-reinforced composite cylindrical panels with elastically restrained straight edges under combined thermomechanical loading conditions. Journal of Thermoplastic Composite Materials, (2018). https://doi.org/10.1177/0892705718805134.
Z. X. Wang and H. S. Shen. Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Composites Part B: Engineering, 43, (2), (2012), pp. 411–421. https://doi.org/10.1016/j.compositesb.2011.04.040.
M. Wang, Z. M. Li, and P. Qiao. Vibration analysis of sandwich plates with carbon nanotube-reinforced composite face-sheets. Composite Structures, 200, (2018), pp. 799–809. https://doi.org/10.1016/j.compstruct.2018.05.058.
K. Mehar, S. K. Panda, and T. R. Mahapatra. Thermoelastic nonlinear frequency analysis of CNT reinforced functionally graded sandwich structure. European Journal of Mechanics-A/Solids, 65, (2017), pp. 384–396. https://doi.org/10.1016/j.euromechsol.2017.05.005.
H. S. Shen and Z. H. Zhu. Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations. European Journal of Mechanics-A/Solids, 35, (2012), pp. 10–21. https://doi.org/10.1016/j.euromechsol.2012.01.005.
Y. Kiani. Thermal post-buckling of temperature dependent sandwich plates with FG-CNTRC face sheets. Journal of Thermal Stresses, 41, (7), (2018), pp. 866–882. https://doi.org/10.1080/01495739.2018.1425645.
V. T. Long and H. V. Tung. Thermal postbuckling behavior of CNT-reinforced composite sandwich plate models resting on elastic foundations with tangentially restrained edges and temperature-dependent properties. Journal of Thermoplastic Composite Materials, (2019). https://doi.org/10.1177/0892705719828789.
V. T. Long and H. V. Tung. Thermomechanical postbuckling behavior of CNT-reinforced composite sandwich plate models resting on elastic foundations with elastically restrained unloaded edges. Journal of Thermal Stresses, 42, (5), (2019), pp. 658–680. https://doi.org/10.1080/01495739.2019.1571972.
L. T. N. Trang and H. V. Tung. Buckling and postbuckling of carbon nanotube-reinforced composite cylindrical panels subjected to axial compression in thermal environments. Vietnam Journal of Mechanics, 40, (1), (2018), pp. 47–61. https://doi.org/10.15625/0866-7136/10088.
H. V. Tung and P. T. Hieu. Buckling and postbuckling of axially-loaded CNT-reinforced composite cylindrical shell surrounded by an elastic medium in thermal environment. Vietnam Journal of Mechanics, 41, (1), (2019), pp. 31–49. https://doi.org/10.15625/0866-7136/12602.
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